The remarks prompted a polite statement from AARP Senior Vice President John Hishta asking candidates to refrain from mentioning the group.

"AARP has never consented to the use of its name by any candidate or political campaign," Hishta said.

"AARP is a nonpartisan organization, and we do not endorse political candidates nor coordinate with any candidate or political party."

Hishta sent a similar dispatch in August, when the Obama campaign released an ad using AARP quotes to attack Paul Ryan's Medicare policy.

"The next president and Congress will decide the future of Medicare, and the candidates owe voters straight talk — not just 30-second ads — about what their plans will mean for today's seniors and future retirees," Hishta said in August.

On Wednesday, Obama cited AARP estimates to argue that savings from the healthcare law will extend Medicare's lifetime. He also told Romney that "AARP has said that your plan would weaken Medicare substantially."

AARP supported Obama's signature healthcare law, prompting criticism from conservatives who believe the group is more political and left-leaning than it says.

On Thursday, Reps. Phil Gingrey (R-Ga.) and Charles Boustany Jr. (R-La.) aired these complaints after AARP moved to distance itself from Obama.

"In reality, senior AARP leadership and key White House officials worked closely together on the passage of President Obama's healthcare reform," Gingrey and Boustany wrote in a press memo.

"AARP leadership consistently ignored the deluge of calls from members, the majority of which opposed ObamaCare, and instead continued working in conjunction with the White House to perfect their 'messaging' to seniors," the memo stated.